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Finding the Fourth Proportional to 12,740.65, 17,577.27 and 9,391.48

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Solution

The fourth proportional to 12,740.65, 17,577.27 and 9,391.48 is: 12,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.65 : 17,577.27 = 9,391.48 : x
  2. Step 2: Convert to fraction form
    12,740.65/17,577.27 = 9,391.48/x
  3. Step 3: Cross multiply
    12,740.65x = 17,577.27 × 9,391.48
  4. Step 4: Simplify right side
    12,740.65x = 165,076,579.66
  5. Step 5: Solve for x
    x = 165,076,579.66/12,740.65
  6. Step 6: Final answer
    x = 12,956.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.